is the probability of committing a Type II error‚ rejecting the null hypothesis when it is‚ in fact‚ true B. The level of significance‚ α‚ is the probability of committing a Type II error‚ rejecting the null hypothesis when it is‚ in fact‚ true C. The level of significance‚ α‚ is the probability of committing a Type I error‚ rejecting the null hypothesis when it is‚ in fact‚ true D. The level of significance‚ β‚ is the probability of committing a Type II error‚ not rejecting the null hypothesis
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For each test he performs‚ there is a 5% chance of incorrectly concluding that there is a difference between population average completion times; i.e.‚ there is a 5% chance of making a Type I error for each pairwise test performed. Complete the following table to determine how the probability of making a Type I error changes as the number of laps in the race increases. One example has been done for your reference. 2 1 0.95 0.05 3 3 0.857375 0.142625 4 6 0.735091891 0.264908109 5 10 0.598736939
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equal to 0.50. b. Explain the risk associated with Type I and Type II errors in this case. The risk with these errors are that you will reject the hypotheses when they are true. c. What would be the consequences if you rejected the null hypothesis for a p-value of 0.22? There will not be enough evidence to reject the null hypothesis d. Why do you think the article suggested raising the value of α? To decrease the chance for type I or type II errors e. What would you do in this situation? Keep
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statisticians are able to decide whether the estimator is incorrect‚ and in this case‚ they can go back and find a new estimator. It is important for an estimator to achieve a minimum average error (i.e. minimum variance unbiased estimator). This type of estimator is known to be an efficient estimator because the average error measure is the variance. Other performance measures for estimators include: bias and consistency. An estimator is said
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Exam 1 Lecture Review Research Methods II‚ Spring 2010 The first exam in this course will be on Tuesday‚ February 16th‚ and will cover Leary Chapters 2‚ 8‚ 9‚ and 10. It will include material from both the lectures and the text; items will be drawn roughly equally from the two sources. Please note that you are responsible for ALL material in these readings‚ whether it was covered in lecture or not (hint: don’t ignore the little “side boxes”). The exam will include a variety of question formats
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generalizable are data? * Q: are the means for our sample approximately equal to the mean from the population? * randomly selected sample because of this random factor‚ sample may not be exactly representative * sampling error * the difference between the sample mean and the population mean * ensure that you have enough participants so that you get an accurate reflection of the population that you are interested in * population mean (parameter)
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BES Tutorial Sample Solutions‚ S1/13 WEEK 9 TUTORIAL EXERCISES (To be discussed in the week starting May 6) 1. Perform the following hypothesis tests of the population mean. In each case‚ illustrate the rejection regions on both the Z and ̅ distributions‚ and calculate the p-value (prob-value) of the test. (a) H0: μ = 50‚ H1: μ > 50‚ n = 100‚ ̅ = 55‚ σ = 10‚ α = 0.05 Rejection region: ̅ 50 1.645 . 10⁄√100 Alternatively 10 51.645 50 1.645 ̅ ̅ . √ √100 Since 55 50 5 1.645 .
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References: – Content Presented above is extracted from net and from Statistics in Business Intelligence Books. To my knowledge I tried to list all web links from which I pulled content to phrase this Idea Submission. 1. http://en.wikipedia.org/ 2. http://www.dictionary.com 3. http://mithil-tech.blogspot.in/2009/08/statistics-for-business-intelligence_10.html 4. Book: Applied Statistics in Business
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Does Clothing Have an Impact on Social Interactions: An Observational Study in the Classroom There are many reasons why we choose to wear a particular article or style of clothing. Many of us consider our choice in clothing as an extension of our identity. While many others pick items from their wardrobe that reflect their current mood. There are also many times when we choose to dress a certain way in anticipation of being in a particular social setting. Even people who don ’t seem to bother
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A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed‚ a sample of nine boxes of cake mix gave these shelf lives (in days): 215‚ 217‚ 218‚ 219‚ 216‚ 217‚ 217‚ 218 and 218. At the 0.025 level‚ has the shelf life of the cake mix increased? Choose one answer. |[pic]|a. No‚ because computed t lies in the region of acceptance. [pic]
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